Properties

Label 403.2.l.c.25.7
Level 403
Weight 2
Character 403.25
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.l (of order \(6\) and degree \(2\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(34\) over \(\Q(\zeta_{6})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 25.7
Character \(\chi\) = 403.25
Dual form 403.2.l.c.129.28

$q$-expansion

\(f(q)\) \(=\) \(q-2.00957i q^{2} +(-1.67472 - 2.90070i) q^{3} -2.03837 q^{4} +(-0.151987 - 0.0877499i) q^{5} +(-5.82915 + 3.36546i) q^{6} +(-2.39273 + 1.38144i) q^{7} +0.0771108i q^{8} +(-4.10936 + 7.11762i) q^{9} +O(q^{10})\) \(q-2.00957i q^{2} +(-1.67472 - 2.90070i) q^{3} -2.03837 q^{4} +(-0.151987 - 0.0877499i) q^{5} +(-5.82915 + 3.36546i) q^{6} +(-2.39273 + 1.38144i) q^{7} +0.0771108i q^{8} +(-4.10936 + 7.11762i) q^{9} +(-0.176340 + 0.305429i) q^{10} +(3.13903 + 1.81232i) q^{11} +(3.41370 + 5.91270i) q^{12} +(2.94803 - 2.07584i) q^{13} +(2.77611 + 4.80836i) q^{14} +0.587826i q^{15} -3.92178 q^{16} +(-2.82097 - 4.88607i) q^{17} +(14.3034 + 8.25805i) q^{18} +(-4.40913 + 2.54561i) q^{19} +(0.309807 + 0.178867i) q^{20} +(8.01430 + 4.62706i) q^{21} +(3.64199 - 6.30811i) q^{22} -4.59797 q^{23} +(0.223675 - 0.129139i) q^{24} +(-2.48460 - 4.30345i) q^{25} +(-4.17155 - 5.92427i) q^{26} +17.4798 q^{27} +(4.87728 - 2.81590i) q^{28} -0.682120 q^{29} +1.18128 q^{30} +(-2.55488 - 4.94698i) q^{31} +8.03532i q^{32} -12.1405i q^{33} +(-9.81890 + 5.66894i) q^{34} +0.484886 q^{35} +(8.37641 - 14.5084i) q^{36} +(-0.536456 + 0.309723i) q^{37} +(5.11559 + 8.86046i) q^{38} +(-10.9585 - 5.07489i) q^{39} +(0.00676647 - 0.0117199i) q^{40} +(9.51308 + 5.49238i) q^{41} +(9.29840 - 16.1053i) q^{42} +(-1.15378 - 1.99841i) q^{43} +(-6.39851 - 3.69418i) q^{44} +(1.24914 - 0.721192i) q^{45} +9.23993i q^{46} +6.66939i q^{47} +(6.56788 + 11.3759i) q^{48} +(0.316775 - 0.548670i) q^{49} +(-8.64809 + 4.99298i) q^{50} +(-9.44867 + 16.3656i) q^{51} +(-6.00918 + 4.23134i) q^{52} +(0.973922 - 1.68688i) q^{53} -35.1269i q^{54} +(-0.318062 - 0.550900i) q^{55} +(-0.106524 - 0.184506i) q^{56} +(14.7681 + 8.52637i) q^{57} +1.37077i q^{58} +(3.24194 - 1.87174i) q^{59} -1.19821i q^{60} +6.97955 q^{61} +(-9.94130 + 5.13421i) q^{62} -22.7074i q^{63} +8.30397 q^{64} +(-0.630218 + 0.0568125i) q^{65} -24.3972 q^{66} +(-10.5204 - 6.07396i) q^{67} +(5.75019 + 9.95962i) q^{68} +(7.70030 + 13.3373i) q^{69} -0.974413i q^{70} +(-13.0677 - 7.54466i) q^{71} +(-0.548846 - 0.316876i) q^{72} +(0.229978 + 0.132778i) q^{73} +(0.622410 + 1.07805i) q^{74} +(-8.32201 + 14.4141i) q^{75} +(8.98745 - 5.18891i) q^{76} -10.0145 q^{77} +(-10.1983 + 22.0219i) q^{78} +(-0.904237 - 1.56618i) q^{79} +(0.596061 + 0.344136i) q^{80} +(-16.9456 - 29.3507i) q^{81} +(11.0373 - 19.1172i) q^{82} +(-9.00049 - 5.19644i) q^{83} +(-16.3361 - 9.43167i) q^{84} +0.990161i q^{85} +(-4.01594 + 2.31860i) q^{86} +(1.14236 + 1.97862i) q^{87} +(-0.139750 + 0.242053i) q^{88} +1.17340i q^{89} +(-1.44929 - 2.51024i) q^{90} +(-4.18618 + 9.03947i) q^{91} +9.37236 q^{92} +(-10.0710 + 15.6957i) q^{93} +13.4026 q^{94} +0.893510 q^{95} +(23.3080 - 13.4569i) q^{96} -7.88737i q^{97} +(-1.10259 - 0.636581i) q^{98} +(-25.7988 + 14.8950i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + O(q^{10}) \) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + 8q^{10} - 10q^{12} - 3q^{13} + 10q^{14} + 84q^{16} + 6q^{17} + 4q^{22} - 44q^{23} + 30q^{25} - 3q^{26} - 12q^{27} + 48q^{29} - 4q^{30} - 48q^{35} + 40q^{36} + 60q^{38} - 14q^{39} + 20q^{40} - 10q^{42} - 12q^{43} + 32q^{48} + 58q^{49} + 20q^{51} - 27q^{52} + 8q^{53} - 36q^{55} - 50q^{56} - 12q^{61} - 74q^{62} - 15q^{65} + 164q^{66} + 4q^{68} - 34q^{69} - 4q^{74} + 20q^{75} - 200q^{77} - 58q^{78} - 80q^{79} - 82q^{81} - 66q^{82} + 52q^{87} + 16q^{88} - 14q^{90} - 70q^{91} + 108q^{92} - 4q^{94} + 76q^{95} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.00957i 1.42098i −0.703707 0.710490i \(-0.748473\pi\)
0.703707 0.710490i \(-0.251527\pi\)
\(3\) −1.67472 2.90070i −0.966899 1.67472i −0.704424 0.709779i \(-0.748795\pi\)
−0.262475 0.964939i \(-0.584539\pi\)
\(4\) −2.03837 −1.01919
\(5\) −0.151987 0.0877499i −0.0679708 0.0392430i 0.465629 0.884980i \(-0.345828\pi\)
−0.533600 + 0.845737i \(0.679161\pi\)
\(6\) −5.82915 + 3.36546i −2.37974 + 1.37394i
\(7\) −2.39273 + 1.38144i −0.904367 + 0.522137i −0.878615 0.477532i \(-0.841532\pi\)
−0.0257528 + 0.999668i \(0.508198\pi\)
\(8\) 0.0771108i 0.0272628i
\(9\) −4.10936 + 7.11762i −1.36979 + 2.37254i
\(10\) −0.176340 + 0.305429i −0.0557635 + 0.0965852i
\(11\) 3.13903 + 1.81232i 0.946454 + 0.546435i 0.891978 0.452080i \(-0.149318\pi\)
0.0544763 + 0.998515i \(0.482651\pi\)
\(12\) 3.41370 + 5.91270i 0.985450 + 1.70685i
\(13\) 2.94803 2.07584i 0.817636 0.575735i
\(14\) 2.77611 + 4.80836i 0.741946 + 1.28509i
\(15\) 0.587826i 0.151776i
\(16\) −3.92178 −0.980446
\(17\) −2.82097 4.88607i −0.684186 1.18505i −0.973692 0.227869i \(-0.926824\pi\)
0.289505 0.957176i \(-0.406509\pi\)
\(18\) 14.3034 + 8.25805i 3.37134 + 1.94644i
\(19\) −4.40913 + 2.54561i −1.01152 + 0.584004i −0.911638 0.410995i \(-0.865181\pi\)
−0.0998869 + 0.994999i \(0.531848\pi\)
\(20\) 0.309807 + 0.178867i 0.0692749 + 0.0399959i
\(21\) 8.01430 + 4.62706i 1.74886 + 1.00971i
\(22\) 3.64199 6.30811i 0.776474 1.34489i
\(23\) −4.59797 −0.958742 −0.479371 0.877612i \(-0.659135\pi\)
−0.479371 + 0.877612i \(0.659135\pi\)
\(24\) 0.223675 0.129139i 0.0456575 0.0263604i
\(25\) −2.48460 4.30345i −0.496920 0.860691i
\(26\) −4.17155 5.92427i −0.818109 1.16185i
\(27\) 17.4798 3.36399
\(28\) 4.87728 2.81590i 0.921718 0.532154i
\(29\) −0.682120 −0.126667 −0.0633333 0.997992i \(-0.520173\pi\)
−0.0633333 + 0.997992i \(0.520173\pi\)
\(30\) 1.18128 0.215671
\(31\) −2.55488 4.94698i −0.458870 0.888503i
\(32\) 8.03532i 1.42046i
\(33\) 12.1405i 2.11339i
\(34\) −9.81890 + 5.66894i −1.68393 + 0.972216i
\(35\) 0.484886 0.0819608
\(36\) 8.37641 14.5084i 1.39607 2.41806i
\(37\) −0.536456 + 0.309723i −0.0881928 + 0.0509181i −0.543448 0.839443i \(-0.682881\pi\)
0.455255 + 0.890361i \(0.349548\pi\)
\(38\) 5.11559 + 8.86046i 0.829858 + 1.43736i
\(39\) −10.9585 5.07489i −1.75477 0.812632i
\(40\) 0.00676647 0.0117199i 0.00106987 0.00185307i
\(41\) 9.51308 + 5.49238i 1.48569 + 0.857765i 0.999867 0.0162903i \(-0.00518561\pi\)
0.485826 + 0.874056i \(0.338519\pi\)
\(42\) 9.29840 16.1053i 1.43477 2.48510i
\(43\) −1.15378 1.99841i −0.175950 0.304754i 0.764540 0.644577i \(-0.222966\pi\)
−0.940490 + 0.339822i \(0.889633\pi\)
\(44\) −6.39851 3.69418i −0.964612 0.556919i
\(45\) 1.24914 0.721192i 0.186211 0.107509i
\(46\) 9.23993i 1.36235i
\(47\) 6.66939i 0.972830i 0.873728 + 0.486415i \(0.161696\pi\)
−0.873728 + 0.486415i \(0.838304\pi\)
\(48\) 6.56788 + 11.3759i 0.947992 + 1.64197i
\(49\) 0.316775 0.548670i 0.0452536 0.0783815i
\(50\) −8.64809 + 4.99298i −1.22302 + 0.706114i
\(51\) −9.44867 + 16.3656i −1.32308 + 2.29164i
\(52\) −6.00918 + 4.23134i −0.833323 + 0.586781i
\(53\) 0.973922 1.68688i 0.133778 0.231711i −0.791352 0.611361i \(-0.790622\pi\)
0.925130 + 0.379650i \(0.123956\pi\)
\(54\) 35.1269i 4.78016i
\(55\) −0.318062 0.550900i −0.0428875 0.0742833i
\(56\) −0.106524 0.184506i −0.0142349 0.0246556i
\(57\) 14.7681 + 8.52637i 1.95608 + 1.12935i
\(58\) 1.37077i 0.179991i
\(59\) 3.24194 1.87174i 0.422065 0.243679i −0.273896 0.961759i \(-0.588312\pi\)
0.695960 + 0.718080i \(0.254979\pi\)
\(60\) 1.19821i 0.154688i
\(61\) 6.97955 0.893640 0.446820 0.894624i \(-0.352556\pi\)
0.446820 + 0.894624i \(0.352556\pi\)
\(62\) −9.94130 + 5.13421i −1.26255 + 0.652046i
\(63\) 22.7074i 2.86087i
\(64\) 8.30397 1.03800
\(65\) −0.630218 + 0.0568125i −0.0781689 + 0.00704673i
\(66\) −24.3972 −3.00309
\(67\) −10.5204 6.07396i −1.28527 0.742052i −0.307465 0.951559i \(-0.599481\pi\)
−0.977807 + 0.209507i \(0.932814\pi\)
\(68\) 5.75019 + 9.95962i 0.697313 + 1.20778i
\(69\) 7.70030 + 13.3373i 0.927007 + 1.60562i
\(70\) 0.974413i 0.116465i
\(71\) −13.0677 7.54466i −1.55086 0.895387i −0.998072 0.0620621i \(-0.980232\pi\)
−0.552783 0.833325i \(-0.686434\pi\)
\(72\) −0.548846 0.316876i −0.0646821 0.0373442i
\(73\) 0.229978 + 0.132778i 0.0269169 + 0.0155405i 0.513398 0.858151i \(-0.328386\pi\)
−0.486481 + 0.873691i \(0.661720\pi\)
\(74\) 0.622410 + 1.07805i 0.0723537 + 0.125320i
\(75\) −8.32201 + 14.4141i −0.960943 + 1.66440i
\(76\) 8.98745 5.18891i 1.03093 0.595209i
\(77\) −10.0145 −1.14126
\(78\) −10.1983 + 22.0219i −1.15473 + 2.49349i
\(79\) −0.904237 1.56618i −0.101735 0.176209i 0.810665 0.585511i \(-0.199106\pi\)
−0.912399 + 0.409301i \(0.865773\pi\)
\(80\) 0.596061 + 0.344136i 0.0666417 + 0.0384756i
\(81\) −16.9456 29.3507i −1.88285 3.26119i
\(82\) 11.0373 19.1172i 1.21887 2.11114i
\(83\) −9.00049 5.19644i −0.987932 0.570383i −0.0832769 0.996526i \(-0.526539\pi\)
−0.904656 + 0.426143i \(0.859872\pi\)
\(84\) −16.3361 9.43167i −1.78242 1.02908i
\(85\) 0.990161i 0.107398i
\(86\) −4.01594 + 2.31860i −0.433050 + 0.250021i
\(87\) 1.14236 + 1.97862i 0.122474 + 0.212131i
\(88\) −0.139750 + 0.242053i −0.0148974 + 0.0258030i
\(89\) 1.17340i 0.124380i 0.998064 + 0.0621900i \(0.0198085\pi\)
−0.998064 + 0.0621900i \(0.980192\pi\)
\(90\) −1.44929 2.51024i −0.152768 0.264602i
\(91\) −4.18618 + 9.03947i −0.438831 + 0.947594i
\(92\) 9.37236 0.977136
\(93\) −10.0710 + 15.6957i −1.04431 + 1.62757i
\(94\) 13.4026 1.38237
\(95\) 0.893510 0.0916722
\(96\) 23.3080 13.4569i 2.37887 1.37344i
\(97\) 7.88737i 0.800841i −0.916331 0.400421i \(-0.868864\pi\)
0.916331 0.400421i \(-0.131136\pi\)
\(98\) −1.10259 0.636581i −0.111379 0.0643044i
\(99\) −25.7988 + 14.8950i −2.59288 + 1.49700i
\(100\) 5.06454 + 8.77204i 0.506454 + 0.877204i
\(101\) −1.24008 −0.123392 −0.0616962 0.998095i \(-0.519651\pi\)
−0.0616962 + 0.998095i \(0.519651\pi\)
\(102\) 32.8878 + 18.9878i 3.25637 + 1.88007i
\(103\) 5.36932 9.29993i 0.529055 0.916350i −0.470371 0.882469i \(-0.655880\pi\)
0.999426 0.0338810i \(-0.0107867\pi\)
\(104\) 0.160070 + 0.227325i 0.0156962 + 0.0222911i
\(105\) −0.812048 1.40651i −0.0792478 0.137261i
\(106\) −3.38991 1.95716i −0.329257 0.190097i
\(107\) 4.81071 + 8.33240i 0.465069 + 0.805523i 0.999205 0.0398756i \(-0.0126962\pi\)
−0.534136 + 0.845399i \(0.679363\pi\)
\(108\) −35.6303 −3.42853
\(109\) 5.68742i 0.544756i −0.962190 0.272378i \(-0.912190\pi\)
0.962190 0.272378i \(-0.0878101\pi\)
\(110\) −1.10707 + 0.639168i −0.105555 + 0.0609423i
\(111\) 1.79683 + 1.03740i 0.170547 + 0.0984654i
\(112\) 9.38377 5.41772i 0.886683 0.511927i
\(113\) −2.89659 + 5.01704i −0.272488 + 0.471964i −0.969498 0.245098i \(-0.921180\pi\)
0.697010 + 0.717061i \(0.254513\pi\)
\(114\) 17.1343 29.6776i 1.60478 2.77956i
\(115\) 0.698832 + 0.403471i 0.0651665 + 0.0376239i
\(116\) 1.39041 0.129097
\(117\) 2.66055 + 29.5134i 0.245968 + 2.72851i
\(118\) −3.76138 6.51491i −0.346264 0.599746i
\(119\) 13.4997 + 7.79403i 1.23751 + 0.714478i
\(120\) −0.0453277 −0.00413784
\(121\) 1.06902 + 1.85159i 0.0971832 + 0.168326i
\(122\) 14.0259i 1.26984i
\(123\) 36.7927i 3.31749i
\(124\) 5.20780 + 10.0838i 0.467674 + 0.905550i
\(125\) 1.74959i 0.156488i
\(126\) −45.6321 −4.06523
\(127\) −0.805677 1.39547i −0.0714923 0.123828i 0.828063 0.560635i \(-0.189443\pi\)
−0.899556 + 0.436806i \(0.856109\pi\)
\(128\) 0.616773i 0.0545156i
\(129\) −3.86451 + 6.69354i −0.340252 + 0.589333i
\(130\) 0.114169 + 1.26647i 0.0100133 + 0.111077i
\(131\) −6.35334 11.0043i −0.555094 0.961451i −0.997896 0.0648314i \(-0.979349\pi\)
0.442802 0.896619i \(-0.353984\pi\)
\(132\) 24.7469i 2.15394i
\(133\) 7.03325 12.1819i 0.609860 1.05631i
\(134\) −12.2060 + 21.1415i −1.05444 + 1.82635i
\(135\) −2.65671 1.53385i −0.228653 0.132013i
\(136\) 0.376769 0.217528i 0.0323077 0.0186528i
\(137\) −6.37020 3.67784i −0.544243 0.314219i 0.202554 0.979271i \(-0.435076\pi\)
−0.746797 + 0.665052i \(0.768409\pi\)
\(138\) 26.8022 15.4743i 2.28156 1.31726i
\(139\) −10.6126 −0.900150 −0.450075 0.892991i \(-0.648603\pi\)
−0.450075 + 0.892991i \(0.648603\pi\)
\(140\) −0.988379 −0.0835332
\(141\) 19.3459 11.1693i 1.62922 0.940629i
\(142\) −15.1615 + 26.2605i −1.27233 + 2.20374i
\(143\) 13.0161 1.17336i 1.08846 0.0981216i
\(144\) 16.1160 27.9138i 1.34300 2.32615i
\(145\) 0.103674 + 0.0598560i 0.00860963 + 0.00497077i
\(146\) 0.266827 0.462158i 0.0220828 0.0382485i
\(147\) −2.12203 −0.175022
\(148\) 1.09350 0.631331i 0.0898849 0.0518951i
\(149\) 1.15596 0.667396i 0.0947002 0.0546752i −0.451902 0.892068i \(-0.649254\pi\)
0.546602 + 0.837392i \(0.315921\pi\)
\(150\) 28.9662 + 16.7237i 2.36508 + 1.36548i
\(151\) 12.6532i 1.02970i 0.857279 + 0.514852i \(0.172153\pi\)
−0.857279 + 0.514852i \(0.827847\pi\)
\(152\) −0.196294 0.339992i −0.0159216 0.0275770i
\(153\) 46.3696 3.74876
\(154\) 20.1248i 1.62170i
\(155\) −0.0457873 + 0.976068i −0.00367773 + 0.0783997i
\(156\) 22.3375 + 10.3445i 1.78843 + 0.828223i
\(157\) 8.65077 0.690407 0.345203 0.938528i \(-0.387810\pi\)
0.345203 + 0.938528i \(0.387810\pi\)
\(158\) −3.14736 + 1.81713i −0.250390 + 0.144563i
\(159\) −6.52418 −0.517401
\(160\) 0.705099 1.22127i 0.0557430 0.0965496i
\(161\) 11.0017 6.35183i 0.867055 0.500594i
\(162\) −58.9823 + 34.0534i −4.63408 + 2.67549i
\(163\) 8.95031i 0.701042i −0.936555 0.350521i \(-0.886004\pi\)
0.936555 0.350521i \(-0.113996\pi\)
\(164\) −19.3912 11.1955i −1.51420 0.874222i
\(165\) −1.06533 + 1.84520i −0.0829357 + 0.143649i
\(166\) −10.4426 + 18.0871i −0.810503 + 1.40383i
\(167\) −12.4085 + 7.16406i −0.960200 + 0.554372i −0.896235 0.443580i \(-0.853708\pi\)
−0.0639654 + 0.997952i \(0.520375\pi\)
\(168\) −0.356796 + 0.617990i −0.0275274 + 0.0476789i
\(169\) 4.38175 12.2393i 0.337058 0.941484i
\(170\) 1.98980 0.152610
\(171\) 41.8434i 3.19984i
\(172\) 2.35183 + 4.07350i 0.179326 + 0.310601i
\(173\) −0.425547 + 0.737069i −0.0323537 + 0.0560383i −0.881749 0.471719i \(-0.843634\pi\)
0.849395 + 0.527757i \(0.176967\pi\)
\(174\) 3.97618 2.29565i 0.301434 0.174033i
\(175\) 11.8900 + 6.86467i 0.898796 + 0.518920i
\(176\) −12.3106 7.10753i −0.927947 0.535750i
\(177\) −10.8587 6.26926i −0.816188 0.471226i
\(178\) 2.35803 0.176742
\(179\) 7.01751 + 12.1547i 0.524513 + 0.908484i 0.999593 + 0.0285409i \(0.00908608\pi\)
−0.475079 + 0.879943i \(0.657581\pi\)
\(180\) −2.54622 + 1.47006i −0.189784 + 0.109572i
\(181\) 8.95892 15.5173i 0.665912 1.15339i −0.313126 0.949712i \(-0.601376\pi\)
0.979037 0.203681i \(-0.0652905\pi\)
\(182\) 18.1655 + 8.41242i 1.34651 + 0.623570i
\(183\) −11.6888 20.2456i −0.864059 1.49659i
\(184\) 0.354553i 0.0261380i
\(185\) 0.108713 0.00799271
\(186\) 31.5417 + 20.2383i 2.31275 + 1.48395i
\(187\) 20.4500i 1.49545i
\(188\) 13.5947i 0.991495i
\(189\) −41.8244 + 24.1473i −3.04228 + 1.75646i
\(190\) 1.79557i 0.130264i
\(191\) 7.80076 13.5113i 0.564443 0.977644i −0.432658 0.901558i \(-0.642424\pi\)
0.997101 0.0760863i \(-0.0242424\pi\)
\(192\) −13.9068 24.0873i −1.00364 1.73835i
\(193\) 6.05340 3.49493i 0.435733 0.251571i −0.266053 0.963958i \(-0.585720\pi\)
0.701786 + 0.712388i \(0.252386\pi\)
\(194\) −15.8502 −1.13798
\(195\) 1.22023 + 1.73293i 0.0873827 + 0.124097i
\(196\) −0.645705 + 1.11839i −0.0461218 + 0.0798853i
\(197\) −4.32766 2.49857i −0.308333 0.178016i 0.337847 0.941201i \(-0.390301\pi\)
−0.646180 + 0.763185i \(0.723635\pi\)
\(198\) 29.9325 + 51.8446i 2.12721 + 3.68443i
\(199\) 2.18218 3.77964i 0.154690 0.267932i −0.778256 0.627947i \(-0.783895\pi\)
0.932946 + 0.360016i \(0.117229\pi\)
\(200\) 0.331843 0.191590i 0.0234648 0.0135474i
\(201\) 40.6887i 2.86996i
\(202\) 2.49202i 0.175338i
\(203\) 1.63213 0.942311i 0.114553 0.0661373i
\(204\) 19.2599 33.3591i 1.34846 2.33561i
\(205\) −0.963911 1.66954i −0.0673225 0.116606i
\(206\) −18.6889 10.7900i −1.30212 0.751777i
\(207\) 18.8947 32.7266i 1.31327 2.27466i
\(208\) −11.5615 + 8.14101i −0.801648 + 0.564477i
\(209\) −18.4539 −1.27648
\(210\) −2.82648 + 1.63187i −0.195045 + 0.112610i
\(211\) −12.3773 21.4380i −0.852085 1.47586i −0.879323 0.476226i \(-0.842004\pi\)
0.0272376 0.999629i \(-0.491329\pi\)
\(212\) −1.98522 + 3.43849i −0.136345 + 0.236157i
\(213\) 50.5408i 3.46300i
\(214\) 16.7445 9.66746i 1.14463 0.660854i
\(215\) 0.404977i 0.0276192i
\(216\) 1.34788i 0.0917117i
\(217\) 12.9471 + 8.30736i 0.878907 + 0.563940i
\(218\) −11.4293 −0.774088
\(219\) 0.889464i 0.0601044i
\(220\) 0.648329 + 1.12294i 0.0437103 + 0.0757085i
\(221\) −18.4590 8.54837i −1.24169 0.575026i
\(222\) 2.08472 3.61085i 0.139917 0.242344i
\(223\) 9.72410 5.61421i 0.651174 0.375955i −0.137732 0.990470i \(-0.543981\pi\)
0.788906 + 0.614514i \(0.210648\pi\)
\(224\) −11.1003 19.2264i −0.741673 1.28462i
\(225\) 40.8405 2.72270
\(226\) 10.0821 + 5.82090i 0.670651 + 0.387201i
\(227\) 10.2055 + 5.89213i 0.677361 + 0.391074i 0.798860 0.601517i \(-0.205437\pi\)
−0.121499 + 0.992592i \(0.538770\pi\)
\(228\) −30.1029 17.3799i −1.99361 1.15101i
\(229\) 12.8461 7.41669i 0.848893 0.490109i −0.0113842 0.999935i \(-0.503624\pi\)
0.860277 + 0.509827i \(0.170290\pi\)
\(230\) 0.810803 1.40435i 0.0534628 0.0926003i
\(231\) 16.7714 + 29.0490i 1.10348 + 1.91128i
\(232\) 0.0525989i 0.00345329i
\(233\) 8.67614 0.568393 0.284196 0.958766i \(-0.408273\pi\)
0.284196 + 0.958766i \(0.408273\pi\)
\(234\) 59.3091 5.34657i 3.87716 0.349516i
\(235\) 0.585238 1.01366i 0.0381767 0.0661240i
\(236\) −6.60828 + 3.81529i −0.430163 + 0.248354i
\(237\) −3.02868 + 5.24583i −0.196734 + 0.340753i
\(238\) 15.6627 27.1285i 1.01526 1.75848i
\(239\) −3.79249 2.18960i −0.245316 0.141633i 0.372302 0.928112i \(-0.378569\pi\)
−0.617618 + 0.786479i \(0.711902\pi\)
\(240\) 2.30532i 0.148808i
\(241\) 4.81474 2.77979i 0.310145 0.179062i −0.336847 0.941560i \(-0.609360\pi\)
0.646991 + 0.762497i \(0.276027\pi\)
\(242\) 3.72090 2.14826i 0.239188 0.138095i
\(243\) −30.5386 + 52.8944i −1.95905 + 3.39318i
\(244\) −14.2269 −0.910785
\(245\) −0.0962915 + 0.0555939i −0.00615184 + 0.00355177i
\(246\) −73.9376 −4.71409
\(247\) −7.71396 + 16.6572i −0.490827 + 1.05987i
\(248\) 0.381466 0.197009i 0.0242231 0.0125101i
\(249\) 34.8103i 2.20601i
\(250\) 3.51593 0.222367
\(251\) 14.2723 + 24.7203i 0.900859 + 1.56033i 0.826381 + 0.563111i \(0.190396\pi\)
0.0744781 + 0.997223i \(0.476271\pi\)
\(252\) 46.2862i 2.91575i
\(253\) −14.4332 8.33299i −0.907405 0.523891i
\(254\) −2.80430 + 1.61906i −0.175957 + 0.101589i
\(255\) 2.87216 1.65824i 0.179861 0.103843i
\(256\) 15.3685 0.960531
\(257\) 4.58260 7.93730i 0.285855 0.495115i −0.686961 0.726694i \(-0.741056\pi\)
0.972816 + 0.231579i \(0.0743892\pi\)
\(258\) 13.4511 + 7.76601i 0.837431 + 0.483491i
\(259\) 0.855730 1.48217i 0.0531725 0.0920974i
\(260\) 1.28462 0.115805i 0.0796687 0.00718193i
\(261\) 2.80308 4.85508i 0.173506 0.300522i
\(262\) −22.1139 + 12.7675i −1.36620 + 0.788777i
\(263\) 29.5497 1.82212 0.911058 0.412279i \(-0.135267\pi\)
0.911058 + 0.412279i \(0.135267\pi\)
\(264\) 0.936165 0.0576170
\(265\) −0.296048 + 0.170923i −0.0181861 + 0.0104997i
\(266\) −24.4805 14.1338i −1.50099 0.866599i
\(267\) 3.40367 1.96511i 0.208301 0.120263i
\(268\) 21.4445 + 12.3810i 1.30993 + 0.756289i
\(269\) 0.697510 1.20812i 0.0425279 0.0736605i −0.843978 0.536378i \(-0.819792\pi\)
0.886506 + 0.462717i \(0.153126\pi\)
\(270\) −3.08238 + 5.33884i −0.187588 + 0.324911i
\(271\) 14.7038i 0.893190i 0.894736 + 0.446595i \(0.147363\pi\)
−0.894736 + 0.446595i \(0.852637\pi\)
\(272\) 11.0632 + 19.1621i 0.670808 + 1.16187i
\(273\) 33.2314 2.99573i 2.01126 0.181310i
\(274\) −7.39088 + 12.8014i −0.446499 + 0.773359i
\(275\) 18.0116i 1.08614i
\(276\) −15.6961 27.1864i −0.944792 1.63643i
\(277\) −10.0833 −0.605845 −0.302922 0.953015i \(-0.597962\pi\)
−0.302922 + 0.953015i \(0.597962\pi\)
\(278\) 21.3268i 1.27910i
\(279\) 45.7097 + 2.14424i 2.73657 + 0.128372i
\(280\) 0.0373900i 0.00223448i
\(281\) 13.6807i 0.816124i −0.912954 0.408062i \(-0.866205\pi\)
0.912954 0.408062i \(-0.133795\pi\)
\(282\) −22.4456 38.8769i −1.33661 2.31508i
\(283\) −13.2904 −0.790034 −0.395017 0.918674i \(-0.629261\pi\)
−0.395017 + 0.918674i \(0.629261\pi\)
\(284\) 26.6369 + 15.3788i 1.58061 + 0.912566i
\(285\) −1.49638 2.59180i −0.0886377 0.153525i
\(286\) −2.35796 26.1567i −0.139429 1.54668i
\(287\) −30.3496 −1.79148
\(288\) −57.1924 33.0200i −3.37009 1.94572i
\(289\) −7.41578 + 12.8445i −0.436222 + 0.755559i
\(290\) 0.120285 0.208339i 0.00706337 0.0122341i
\(291\) −22.8789 + 13.2091i −1.34118 + 0.774333i
\(292\) −0.468782 0.270651i −0.0274334 0.0158387i
\(293\) −25.5298 + 14.7396i −1.49147 + 0.861099i −0.999952 0.00977093i \(-0.996890\pi\)
−0.491514 + 0.870870i \(0.663556\pi\)
\(294\) 4.26438i 0.248704i
\(295\) −0.656979 −0.0382508
\(296\) −0.0238830 0.0413666i −0.00138817 0.00240438i
\(297\) 54.8696 + 31.6790i 3.18386 + 1.83820i
\(298\) −1.34118 2.32299i −0.0776924 0.134567i
\(299\) −13.5549 + 9.54466i −0.783902 + 0.551982i
\(300\) 16.9633 29.3814i 0.979379 1.69633i
\(301\) 5.52137 + 3.18777i 0.318247 + 0.183740i
\(302\) 25.4275 1.46319
\(303\) 2.07678 + 3.59709i 0.119308 + 0.206647i
\(304\) 17.2917 9.98335i 0.991745 0.572584i
\(305\) −1.06080 0.612455i −0.0607414 0.0350691i
\(306\) 93.1830i 5.32691i
\(307\) −25.1578 + 14.5249i −1.43583 + 0.828979i −0.997557 0.0698609i \(-0.977744\pi\)
−0.438277 + 0.898840i \(0.644411\pi\)
\(308\) 20.4132 1.16315
\(309\) −35.9684 −2.04617
\(310\) 1.96148 + 0.0920128i 0.111404 + 0.00522598i
\(311\) 9.96731 0.565194 0.282597 0.959239i \(-0.408804\pi\)
0.282597 + 0.959239i \(0.408804\pi\)
\(312\) 0.391329 0.845020i 0.0221546 0.0478398i
\(313\) −2.64792 4.58632i −0.149669 0.259234i 0.781436 0.623985i \(-0.214487\pi\)
−0.931105 + 0.364751i \(0.881154\pi\)
\(314\) 17.3843i 0.981054i
\(315\) −1.99257 + 3.45124i −0.112269 + 0.194455i
\(316\) 1.84317 + 3.19246i 0.103686 + 0.179590i
\(317\) 4.00241 2.31080i 0.224798 0.129787i −0.383372 0.923594i \(-0.625237\pi\)
0.608170 + 0.793807i \(0.291904\pi\)
\(318\) 13.1108i 0.735217i
\(319\) −2.14120 1.23622i −0.119884 0.0692151i
\(320\) −1.26210 0.728673i −0.0705535 0.0407341i
\(321\) 16.1132 27.9088i 0.899350 1.55772i
\(322\) −12.7645 22.1087i −0.711335 1.23207i
\(323\) 24.8761 + 14.3622i 1.38414 + 0.799135i
\(324\) 34.5415 + 59.8276i 1.91897 + 3.32376i
\(325\) −16.2580 7.52907i −0.901830 0.417637i
\(326\) −17.9863 −0.996168
\(327\) −16.4975 + 9.52483i −0.912313 + 0.526724i
\(328\) −0.423522 + 0.733561i −0.0233851 + 0.0405042i
\(329\) −9.21339 15.9581i −0.507950 0.879796i
\(330\) 3.70807 + 2.14085i 0.204122 + 0.117850i
\(331\) 8.06543 + 4.65658i 0.443316 + 0.255949i 0.705003 0.709204i \(-0.250946\pi\)
−0.261687 + 0.965153i \(0.584279\pi\)
\(332\) 18.3464 + 10.5923i 1.00689 + 0.581326i
\(333\) 5.09106i 0.278988i
\(334\) 14.3967 + 24.9358i 0.787751 + 1.36443i
\(335\) 1.06598 + 1.84633i 0.0582407 + 0.100876i
\(336\) −31.4304 18.1463i −1.71467 0.989963i
\(337\) −18.6775 −1.01743 −0.508713 0.860936i \(-0.669879\pi\)
−0.508713 + 0.860936i \(0.669879\pi\)
\(338\) −24.5957 8.80543i −1.33783 0.478952i
\(339\) 19.4039 1.05388
\(340\) 2.01832i 0.109459i
\(341\) 0.945657 20.1590i 0.0512102 1.09167i
\(342\) −84.0872 −4.54692
\(343\) 17.5898i 0.949759i
\(344\) 0.154099 0.0889690i 0.00830845 0.00479689i
\(345\) 2.70280i 0.145514i
\(346\) 1.48119 + 0.855167i 0.0796294 + 0.0459740i
\(347\) −12.4857 21.6258i −0.670266 1.16093i −0.977829 0.209407i \(-0.932847\pi\)
0.307563 0.951528i \(-0.400487\pi\)
\(348\) −2.32855 4.03317i −0.124824 0.216201i
\(349\) 7.95522i 0.425833i −0.977070 0.212917i \(-0.931704\pi\)
0.977070 0.212917i \(-0.0682962\pi\)
\(350\) 13.7950 23.8937i 0.737376 1.27717i
\(351\) 51.5309 36.2853i 2.75052 1.93677i
\(352\) −14.5626 + 25.2231i −0.776188 + 1.34440i
\(353\) 7.55882 4.36408i 0.402315 0.232277i −0.285167 0.958478i \(-0.592049\pi\)
0.687482 + 0.726201i \(0.258716\pi\)
\(354\) −12.5985 + 21.8213i −0.669604 + 1.15979i
\(355\) 1.32409 + 2.29339i 0.0702753 + 0.121720i
\(356\) 2.39182i 0.126766i
\(357\) 52.2112i 2.76331i
\(358\) 24.4257 14.1022i 1.29094 0.745323i
\(359\) 21.5232 + 12.4264i 1.13595 + 0.655842i 0.945425 0.325840i \(-0.105647\pi\)
0.190527 + 0.981682i \(0.438980\pi\)
\(360\) 0.0556118 + 0.0963224i 0.00293100 + 0.00507664i
\(361\) 3.46030 5.99342i 0.182121 0.315443i
\(362\) −31.1831 18.0036i −1.63895 0.946247i
\(363\) 3.58060 6.20178i 0.187933 0.325509i
\(364\) 8.53299 18.4258i 0.447250 0.965775i
\(365\) −0.0233025 0.0403612i −0.00121971 0.00211260i
\(366\) −40.6849 + 23.4894i −2.12663 + 1.22781i
\(367\) −9.11621 + 15.7897i −0.475862 + 0.824218i −0.999618 0.0276511i \(-0.991197\pi\)
0.523755 + 0.851869i \(0.324531\pi\)
\(368\) 18.0322 0.939995
\(369\) −78.1854 + 45.1403i −4.07017 + 2.34991i
\(370\) 0.218466i 0.0113575i
\(371\) 5.38167i 0.279403i
\(372\) 20.5284 31.9937i 1.06435 1.65880i
\(373\) 27.0952 1.40293 0.701467 0.712702i \(-0.252529\pi\)
0.701467 + 0.712702i \(0.252529\pi\)
\(374\) −41.0958 −2.12501
\(375\) 5.07504 2.93008i 0.262074 0.151308i
\(376\) −0.514282 −0.0265221
\(377\) −2.01091 + 1.41597i −0.103567 + 0.0729264i
\(378\) 48.5258 + 84.0491i 2.49590 + 4.32302i
\(379\) −8.95362 + 5.16938i −0.459917 + 0.265533i −0.712009 0.702170i \(-0.752215\pi\)
0.252093 + 0.967703i \(0.418881\pi\)
\(380\) −1.82131 −0.0934310
\(381\) −2.69856 + 4.67405i −0.138252 + 0.239459i
\(382\) −27.1519 15.6762i −1.38921 0.802063i
\(383\) 15.9500 + 9.20873i 0.815006 + 0.470544i 0.848691 0.528888i \(-0.177391\pi\)
−0.0336851 + 0.999432i \(0.510724\pi\)
\(384\) −1.78907 + 1.03292i −0.0912982 + 0.0527110i
\(385\) 1.52207 + 0.878770i 0.0775721 + 0.0447863i
\(386\) −7.02331 12.1647i −0.357477 0.619169i
\(387\) 18.9652 0.964056
\(388\) 16.0774i 0.816206i
\(389\) −14.7190 25.4940i −0.746281 1.29260i −0.949594 0.313482i \(-0.898504\pi\)
0.203313 0.979114i \(-0.434829\pi\)
\(390\) 3.48244 2.45214i 0.176340 0.124169i
\(391\) 12.9707 + 22.4660i 0.655958 + 1.13615i
\(392\) 0.0423084 + 0.0244268i 0.00213690 + 0.00123374i
\(393\) −21.2801 + 36.8582i −1.07344 + 1.85925i
\(394\) −5.02106 + 8.69673i −0.252957 + 0.438135i
\(395\) 0.317387i 0.0159695i
\(396\) 52.5876 30.3615i 2.64263 1.52572i
\(397\) 0.739740 0.427089i 0.0371265 0.0214350i −0.481322 0.876544i \(-0.659843\pi\)
0.518448 + 0.855109i \(0.326510\pi\)
\(398\) −7.59546 4.38524i −0.380726 0.219812i
\(399\) −47.1148 −2.35869
\(400\) 9.74406 + 16.8772i 0.487203 + 0.843861i
\(401\) 1.86349i 0.0930583i −0.998917 0.0465291i \(-0.985184\pi\)
0.998917 0.0465291i \(-0.0148160\pi\)
\(402\) 81.7668 4.07816
\(403\) −17.8010 9.28030i −0.886732 0.462285i
\(404\) 2.52774 0.125760
\(405\) 5.94791i 0.295554i
\(406\) −1.89364 3.27988i −0.0939798 0.162778i
\(407\) −2.24527 −0.111294
\(408\) −1.26196 0.728595i −0.0624765 0.0360708i
\(409\) 23.2785 13.4398i 1.15105 0.664556i 0.201904 0.979405i \(-0.435287\pi\)
0.949142 + 0.314849i \(0.101954\pi\)
\(410\) −3.35506 + 1.93705i −0.165695 + 0.0956640i
\(411\) 24.6374i 1.21527i
\(412\) −10.9447 + 18.9567i −0.539205 + 0.933931i
\(413\) −5.17140 + 8.95712i −0.254468 + 0.440751i
\(414\) −65.7664 37.9702i −3.23224 1.86614i
\(415\) 0.911974 + 1.57959i 0.0447670 + 0.0775388i
\(416\) 16.6801 + 23.6884i 0.817808 + 1.16142i
\(417\) 17.7731 + 30.7840i 0.870354 + 1.50750i
\(418\) 37.0844i 1.81386i
\(419\) 13.5545 0.662183 0.331091 0.943599i \(-0.392583\pi\)
0.331091 + 0.943599i \(0.392583\pi\)
\(420\) 1.65526 + 2.86699i 0.0807682 + 0.139895i
\(421\) 0.734228 + 0.423907i 0.0357841 + 0.0206600i 0.517785 0.855511i \(-0.326757\pi\)
−0.482001 + 0.876171i \(0.660090\pi\)
\(422\) −43.0812 + 24.8730i −2.09716 + 1.21080i
\(423\) −47.4702 27.4069i −2.30808 1.33257i
\(424\) 0.130077 + 0.0751000i 0.00631709 + 0.00364718i
\(425\) −14.0180 + 24.2799i −0.679972 + 1.17775i
\(426\) 101.565 4.92085
\(427\) −16.7002 + 9.64186i −0.808179 + 0.466602i
\(428\) −9.80602 16.9845i −0.473992 0.820978i
\(429\) −25.2018 35.7906i −1.21675 1.72799i
\(430\) 0.813829 0.0392463
\(431\) 18.8413 10.8780i 0.907555 0.523977i 0.0279113 0.999610i \(-0.491114\pi\)
0.879644 + 0.475633i \(0.157781\pi\)
\(432\) −68.5519 −3.29821
\(433\) −15.0918 −0.725265 −0.362632 0.931932i \(-0.618122\pi\)
−0.362632 + 0.931932i \(0.618122\pi\)
\(434\) 16.6942 26.0181i 0.801348 1.24891i
\(435\) 0.400968i 0.0192249i
\(436\) 11.5931i 0.555208i
\(437\) 20.2730 11.7046i 0.969791 0.559909i
\(438\) −1.78744 −0.0854072
\(439\) 3.91685 6.78419i 0.186941 0.323792i −0.757288 0.653081i \(-0.773476\pi\)
0.944229 + 0.329290i \(0.106809\pi\)
\(440\) 0.0424803 0.0245260i 0.00202517 0.00116923i
\(441\) 2.60349 + 4.50937i 0.123975 + 0.214732i
\(442\) −17.1786 + 37.0947i −0.817101 + 1.76441i
\(443\) −3.68420 + 6.38123i −0.175042 + 0.303181i −0.940176 0.340690i \(-0.889339\pi\)
0.765134 + 0.643871i \(0.222673\pi\)
\(444\) −3.66260 2.11460i −0.173819 0.100355i
\(445\) 0.102966 0.178342i 0.00488104 0.00845421i
\(446\) −11.2821 19.5413i −0.534225 0.925305i
\(447\) −3.87183 2.23540i −0.183131 0.105731i
\(448\) −19.8692 + 11.4715i −0.938730 + 0.541976i
\(449\) 36.5703i 1.72586i 0.505326 + 0.862929i \(0.331372\pi\)
−0.505326 + 0.862929i \(0.668628\pi\)
\(450\) 82.0718i 3.86890i
\(451\) 19.9079 + 34.4815i 0.937427 + 1.62367i
\(452\) 5.90433 10.2266i 0.277716 0.481019i
\(453\) 36.7031 21.1906i 1.72446 0.995619i
\(454\) 11.8407 20.5086i 0.555709 0.962517i
\(455\) 1.42946 1.00655i 0.0670141 0.0471877i
\(456\) −0.657476 + 1.13878i −0.0307891 + 0.0533283i
\(457\) 19.4014i 0.907559i 0.891114 + 0.453779i \(0.149925\pi\)
−0.891114 + 0.453779i \(0.850075\pi\)
\(458\) −14.9044 25.8151i −0.696435 1.20626i
\(459\) −49.3100 85.4074i −2.30159 3.98648i
\(460\) −1.42448 0.822424i −0.0664167 0.0383457i
\(461\) 39.5944i 1.84410i −0.387075 0.922048i \(-0.626515\pi\)
0.387075 0.922048i \(-0.373485\pi\)
\(462\) 58.3759 33.7034i 2.71589 1.56802i
\(463\) 38.8032i 1.80334i −0.432425 0.901670i \(-0.642342\pi\)
0.432425 0.901670i \(-0.357658\pi\)
\(464\) 2.67513 0.124190
\(465\) 2.90796 1.50182i 0.134853 0.0696454i
\(466\) 17.4353i 0.807675i
\(467\) 26.2277 1.21367 0.606837 0.794827i \(-0.292438\pi\)
0.606837 + 0.794827i \(0.292438\pi\)
\(468\) −5.42320 60.1592i −0.250687 2.78086i
\(469\) 33.5633 1.54981
\(470\) −2.03703 1.17608i −0.0939610 0.0542484i
\(471\) −14.4876 25.0933i −0.667553 1.15624i
\(472\) 0.144331 + 0.249989i 0.00664338 + 0.0115067i
\(473\) 8.36408i 0.384581i
\(474\) 10.5419 + 6.08635i 0.484204 + 0.279555i
\(475\) 21.9099 + 12.6497i 1.00529 + 0.580406i
\(476\) −27.5173 15.8871i −1.26125 0.728186i
\(477\) 8.00440 + 13.8640i 0.366496 + 0.634790i
\(478\) −4.40015 + 7.62128i −0.201258 + 0.348589i
\(479\) 22.4688 12.9724i 1.02663 0.592722i 0.110609 0.993864i \(-0.464720\pi\)
0.916016 + 0.401142i \(0.131386\pi\)
\(480\) −4.72337 −0.215591
\(481\) −0.938551 + 2.02667i −0.0427943 + 0.0924082i
\(482\) −5.58618 9.67556i −0.254444 0.440709i
\(483\) −36.8495 21.2751i −1.67671 0.968049i
\(484\) −2.17905 3.77423i −0.0990478 0.171556i
\(485\) −0.692116 + 1.19878i −0.0314274 + 0.0544338i
\(486\) 106.295 + 61.3695i 4.82164 + 2.78378i
\(487\) −4.91773 2.83925i −0.222843 0.128659i 0.384423 0.923157i \(-0.374401\pi\)
−0.607266 + 0.794498i \(0.707734\pi\)
\(488\) 0.538199i 0.0243631i
\(489\) −25.9621 + 14.9892i −1.17405 + 0.677837i
\(490\) 0.111720 + 0.193505i 0.00504699 + 0.00874164i
\(491\) 8.89948 15.4143i 0.401628 0.695640i −0.592295 0.805721i \(-0.701778\pi\)
0.993923 + 0.110082i \(0.0351112\pi\)
\(492\) 74.9973i 3.38114i
\(493\) 1.92424 + 3.33289i 0.0866635 + 0.150106i
\(494\) 33.4738 + 15.5017i 1.50606 + 0.697456i
\(495\) 5.22813 0.234987
\(496\) 10.0197 + 19.4010i 0.449897 + 0.871130i
\(497\) 41.6901 1.87006
\(498\) 69.9537 3.13470
\(499\) −34.4310 + 19.8787i −1.54134 + 0.889895i −0.542588 + 0.839999i \(0.682556\pi\)
−0.998754 + 0.0498957i \(0.984111\pi\)
\(500\) 3.56632i 0.159491i
\(501\) 41.5615 + 23.9956i 1.85683 + 1.07204i
\(502\) 49.6773 28.6812i 2.21720 1.28010i
\(503\) −4.45418 7.71487i −0.198602 0.343989i 0.749473 0.662035i \(-0.230307\pi\)
−0.948075 + 0.318046i \(0.896973\pi\)
\(504\) 1.75099 0.0779952
\(505\) 0.188476 + 0.108817i 0.00838708 + 0.00484228i
\(506\) −16.7457 + 29.0045i −0.744438 + 1.28941i
\(507\) −42.8407 + 7.78724i −1.90262 + 0.345843i
\(508\) 1.64227 + 2.84449i 0.0728639 + 0.126204i
\(509\) 19.4463 + 11.2273i 0.861941 + 0.497642i 0.864662 0.502354i \(-0.167533\pi\)
−0.00272062 + 0.999996i \(0.500866\pi\)
\(510\) −3.33235 5.77180i −0.147559 0.255580i
\(511\) −0.733702 −0.0324571
\(512\) 32.1176i 1.41941i
\(513\) −77.0707 + 44.4968i −3.40275 + 1.96458i
\(514\) −15.9506 9.20905i −0.703549 0.406194i
\(515\) −1.63214 + 0.942315i −0.0719205 + 0.0415233i
\(516\) 7.87732 13.6439i 0.346780 0.600640i
\(517\) −12.0871 + 20.9354i −0.531589 + 0.920739i
\(518\) −2.97852 1.71965i −0.130869 0.0755570i
\(519\) 2.85069 0.125131
\(520\) −0.00438086 0.0485967i −0.000192114 0.00213110i
\(521\) 4.01271 + 6.95021i 0.175800 + 0.304494i 0.940438 0.339966i \(-0.110416\pi\)
−0.764638 + 0.644460i \(0.777082\pi\)
\(522\) −9.75661 5.63298i −0.427035 0.246549i
\(523\) 4.57571 0.200082 0.100041 0.994983i \(-0.468103\pi\)
0.100041 + 0.994983i \(0.468103\pi\)
\(524\) 12.9505 + 22.4309i 0.565744 + 0.979897i
\(525\) 45.9856i 2.00697i
\(526\) 59.3823i 2.58919i
\(527\) −16.9640 + 26.4386i −0.738964 + 1.15168i
\(528\) 47.6125i 2.07207i
\(529\) −1.85871 −0.0808136
\(530\) 0.343482 + 0.594928i 0.0149199 + 0.0258420i
\(531\) 30.7666i 1.33516i
\(532\) −14.3364 + 24.8313i −0.621561 + 1.07657i
\(533\) 39.4461 3.55597i 1.70860 0.154026i
\(534\) −3.94903 6.83992i −0.170891 0.295992i
\(535\) 1.68856i 0.0730027i
\(536\) 0.468368 0.811238i 0.0202304 0.0350401i
\(537\) 23.5047 40.7113i 1.01430 1.75682i
\(538\) −2.42781 1.40169i −0.104670 0.0604313i
\(539\) 1.98873 1.14820i 0.0856608 0.0494563i
\(540\) 5.41535 + 3.12656i 0.233040 + 0.134546i
\(541\) −30.5752 + 17.6526i −1.31453 + 0.758944i −0.982843 0.184446i \(-0.940951\pi\)
−0.331686 + 0.943390i \(0.607618\pi\)
\(542\) 29.5482 1.26921
\(543\) −60.0147 −2.57548
\(544\) 39.2611 22.6674i 1.68331 0.971858i
\(545\) −0.499071 + 0.864416i −0.0213778 + 0.0370275i
\(546\) −6.02013 66.7809i −0.257638 2.85796i
\(547\) −15.3255 + 26.5446i −0.655273 + 1.13497i 0.326553 + 0.945179i \(0.394113\pi\)
−0.981825 + 0.189786i \(0.939220\pi\)
\(548\) 12.9848 + 7.49680i 0.554685 + 0.320248i
\(549\) −28.6815 + 49.6778i −1.22410 + 2.12020i
\(550\) −36.1955 −1.54338
\(551\) 3.00756 1.73642i 0.128126 0.0739738i
\(552\) −1.02845 + 0.593776i −0.0437738 + 0.0252728i
\(553\) 4.32719 + 2.49830i 0.184011 + 0.106239i
\(554\) 20.2630i 0.860894i
\(555\) −0.182063 0.315343i −0.00772815 0.0133855i
\(556\) 21.6325 0.917420
\(557\) 25.9114i 1.09790i 0.835855 + 0.548951i \(0.184972\pi\)
−0.835855 + 0.548951i \(0.815028\pi\)
\(558\) 4.30900 91.8568i 0.182414 3.88861i
\(559\) −7.54976 3.49629i −0.319321 0.147877i
\(560\) −1.90162 −0.0803581
\(561\) −59.3194 + 34.2480i −2.50447 + 1.44595i
\(562\) −27.4924 −1.15970
\(563\) 15.3056 26.5100i 0.645053 1.11726i −0.339236 0.940701i \(-0.610169\pi\)
0.984289 0.176563i \(-0.0564980\pi\)
\(564\) −39.4341 + 22.7673i −1.66047 + 0.958675i
\(565\) 0.880490 0.508351i 0.0370425 0.0213865i
\(566\) 26.7081i 1.12262i
\(567\) 81.0927 + 46.8189i 3.40557 + 1.96621i
\(568\) 0.581776 1.00766i 0.0244108 0.0422807i
\(569\) −10.2814 + 17.8080i −0.431020 + 0.746548i −0.996961 0.0778970i \(-0.975179\pi\)
0.565941 + 0.824445i \(0.308513\pi\)
\(570\) −5.20841 + 3.00707i −0.218156 + 0.125952i
\(571\) 1.58774 2.75004i 0.0664447 0.115086i −0.830889 0.556438i \(-0.812168\pi\)
0.897334 + 0.441352i \(0.145501\pi\)
\(572\) −26.5316 + 2.39175i −1.10934 + 0.100004i
\(573\) −52.2563 −2.18304
\(574\) 60.9897i 2.54566i
\(575\) 11.4241 + 19.7871i 0.476418 + 0.825180i
\(576\) −34.1240 + 59.1046i −1.42183 + 2.46269i
\(577\) −19.9466 + 11.5162i −0.830390 + 0.479426i −0.853986 0.520296i \(-0.825822\pi\)
0.0235963 + 0.999722i \(0.492488\pi\)
\(578\) 25.8119 + 14.9025i 1.07363 + 0.619863i
\(579\) −20.2755 11.7061i −0.842621 0.486487i
\(580\) −0.211325 0.122009i −0.00877481 0.00506614i
\(581\) 28.7143 1.19127
\(582\) 26.5447 + 45.9767i 1.10031 + 1.90580i
\(583\) 6.11435 3.53012i 0.253230 0.146203i
\(584\) −0.0102386 + 0.0177338i −0.000423678 + 0.000733831i
\(585\) 2.18542 4.71912i 0.0903562 0.195112i
\(586\) 29.6203 + 51.3039i 1.22360 + 2.11935i
\(587\) 5.72572i 0.236326i −0.992994 0.118163i \(-0.962300\pi\)
0.992994 0.118163i \(-0.0377005\pi\)
\(588\) 4.32550 0.178380
\(589\) 23.8579 + 15.3081i 0.983048 + 0.630761i
\(590\) 1.32024i 0.0543536i
\(591\) 16.7376i 0.688494i
\(592\) 2.10386 1.21467i 0.0864683 0.0499225i
\(593\) 3.64539i 0.149698i 0.997195 + 0.0748490i \(0.0238475\pi\)
−0.997195 + 0.0748490i \(0.976153\pi\)
\(594\) 63.6611 110.264i 2.61205 4.52420i
\(595\) −1.36785 2.36919i −0.0560764 0.0971272i
\(596\) −2.35628 + 1.36040i −0.0965171 + 0.0557242i
\(597\) −14.6181 −0.598280
\(598\) 19.1807 + 27.2396i 0.784355 + 1.11391i
\(599\) −4.48160 + 7.76236i −0.183113 + 0.317161i −0.942939 0.332965i \(-0.891951\pi\)
0.759826 + 0.650127i \(0.225284\pi\)
\(600\) −1.11149 0.641717i −0.0453763 0.0261980i
\(601\) −6.12644 10.6113i −0.249903 0.432844i 0.713596 0.700558i \(-0.247065\pi\)
−0.963499 + 0.267713i \(0.913732\pi\)
\(602\) 6.40604 11.0956i 0.261091 0.452222i
\(603\) 86.4643 49.9202i 3.52110 2.03291i
\(604\) 25.7919i 1.04946i
\(605\) 0.375224i 0.0152550i
\(606\) 7.22861 4.17344i 0.293642 0.169534i
\(607\) 23.8290 41.2730i 0.967187 1.67522i 0.263567 0.964641i \(-0.415101\pi\)
0.703620 0.710576i \(-0.251566\pi\)
\(608\) −20.4548 35.4288i −0.829553 1.43683i
\(609\) −5.46672 3.15621i −0.221523 0.127896i
\(610\) −1.23077 + 2.13176i −0.0498325 + 0.0863124i
\(611\) 13.8446 + 19.6615i 0.560093 + 0.795421i
\(612\) −94.5185 −3.82068
\(613\) 13.4143 7.74477i 0.541800 0.312808i −0.204008 0.978969i \(-0.565397\pi\)
0.745808 + 0.666161i \(0.232064\pi\)
\(614\) 29.1888 + 50.5564i 1.17796 + 2.04029i
\(615\) −3.22856 + 5.59203i −0.130188 + 0.225492i
\(616\) 0.772225i 0.0311138i
\(617\) −18.7924 + 10.8498i −0.756552 + 0.436795i −0.828056 0.560645i \(-0.810553\pi\)
0.0715046 + 0.997440i \(0.477220\pi\)
\(618\) 72.2810i 2.90757i
\(619\) 21.7005i 0.872217i −0.899894 0.436109i \(-0.856356\pi\)
0.899894 0.436109i \(-0.143644\pi\)
\(620\) 0.0933316 1.98959i 0.00374829 0.0799039i
\(621\) −80.3714 −3.22520
\(622\) 20.0300i 0.803130i
\(623\) −1.62098 2.80763i −0.0649434 0.112485i
\(624\) 42.9769 + 19.9026i 1.72045 + 0.796742i
\(625\) −12.2695 + 21.2514i −0.490779 + 0.850054i
\(626\) −9.21654 + 5.32117i −0.368367 + 0.212677i
\(627\) 30.9051 + 53.5291i 1.23423 + 2.13775i
\(628\) −17.6335 −0.703653
\(629\) 3.02666 + 1.74744i 0.120681 + 0.0696750i
\(630\) 6.93551 + 4.00422i 0.276317 + 0.159532i
\(631\) −11.9398 6.89344i −0.475316 0.274424i 0.243147 0.969990i \(-0.421820\pi\)
−0.718462 + 0.695566i \(0.755154\pi\)
\(632\) 0.120770 0.0697265i 0.00480396 0.00277357i
\(633\) −41.4568 + 71.8053i −1.64776 + 2.85401i
\(634\) −4.64370 8.04313i −0.184425 0.319434i
\(635\) 0.282792i 0.0112223i
\(636\) 13.2987 0.527328
\(637\) −0.205092 2.27507i −0.00812603 0.0901416i
\(638\) −2.48427 + 4.30289i −0.0983533 + 0.170353i
\(639\) 107.400 62.0075i 4.24869 2.45298i
\(640\) −0.0541218 + 0.0937417i −0.00213935 + 0.00370547i
\(641\) −7.41249 + 12.8388i −0.292776 + 0.507103i −0.974465 0.224539i \(-0.927912\pi\)
0.681689 + 0.731642i \(0.261246\pi\)
\(642\) −56.0848 32.3806i −2.21349 1.27796i
\(643\) 26.6855i 1.05237i 0.850369 + 0.526187i \(0.176379\pi\)
−0.850369 + 0.526187i \(0.823621\pi\)
\(644\) −22.4255 + 12.9474i −0.883690 + 0.510199i
\(645\) 1.17471 0.678222i 0.0462543 0.0267050i
\(646\) 28.8619 49.9902i 1.13556 1.96684i
\(647\) 9.95334 0.391306 0.195653 0.980673i \(-0.437317\pi\)
0.195653 + 0.980673i \(0.437317\pi\)
\(648\) 2.26326 1.30669i 0.0889091 0.0513317i
\(649\) 13.5687 0.532620
\(650\) −15.1302 + 32.6715i −0.593455 + 1.28148i
\(651\) 2.41437 51.4681i 0.0946266 2.01720i
\(652\) 18.2441i 0.714493i
\(653\) 1.09420 0.0428194 0.0214097 0.999771i \(-0.493185\pi\)
0.0214097 + 0.999771i \(0.493185\pi\)
\(654\) 19.1408 + 33.1529i 0.748465 + 1.29638i
\(655\) 2.23002i 0.0871341i
\(656\) −37.3082 21.5399i −1.45664 0.840993i
\(657\) −1.89013 + 1.09127i −0.0737410 + 0.0425744i
\(658\) −32.0688 + 18.5149i −1.25017 + 0.721788i
\(659\) 26.8176 1.04467 0.522333 0.852742i \(-0.325062\pi\)
0.522333 + 0.852742i \(0.325062\pi\)
\(660\) 2.17154 3.76121i 0.0845269 0.146405i
\(661\) −32.5521 18.7940i −1.26613 0.731001i −0.291877 0.956456i \(-0.594280\pi\)
−0.974254 + 0.225455i \(0.927613\pi\)
\(662\) 9.35772 16.2080i 0.363698 0.629943i
\(663\) 6.11742 + 67.8601i 0.237581 + 2.63547i
\(664\) 0.400702 0.694036i 0.0155502 0.0269338i
\(665\) −2.13793 + 1.23433i −0.0829053 + 0.0478654i
\(666\) −10.2308 −0.396437
\(667\) 3.13637 0.121441
\(668\) 25.2932 14.6030i 0.978622 0.565008i
\(669\) −32.5702 18.8044i −1.25924 0.727022i
\(670\) 3.71033 2.14216i 0.143343 0.0827588i
\(671\) 21.9090 + 12.6492i 0.845789 + 0.488316i
\(672\) −37.1799 + 64.3975i −1.43425 + 2.48419i
\(673\) 5.53634 9.58922i 0.213410 0.369637i −0.739369 0.673300i \(-0.764876\pi\)
0.952780 + 0.303663i \(0.0982096\pi\)
\(674\) 37.5337i 1.44574i
\(675\) −43.4303 75.2234i −1.67163 2.89535i
\(676\) −8.93164 + 24.9482i −0.343524 + 0.959547i
\(677\) 15.5170 26.8762i 0.596365 1.03293i −0.396988 0.917824i \(-0.629944\pi\)
0.993353 0.115111i \(-0.0367222\pi\)
\(678\) 38.9935i 1.49754i
\(679\) 10.8960 + 18.8724i 0.418149 + 0.724255i
\(680\) −0.0763521 −0.00292797
\(681\) 39.4706i 1.51252i
\(682\) −40.5109 1.90036i −1.55124 0.0727687i
\(683\) 46.1431i 1.76562i 0.469735 + 0.882808i \(0.344350\pi\)
−0.469735 + 0.882808i \(0.655650\pi\)
\(684\) 85.2924i 3.26124i
\(685\) 0.645460 + 1.11797i 0.0246618 + 0.0427154i
\(686\) −35.3479 −1.34959
\(687\) −43.0271 24.8417i −1.64159 0.947771i
\(688\) 4.52488 + 7.83732i 0.172509 + 0.298795i
\(689\) −0.630553 6.99469i −0.0240222 0.266476i
\(690\) −5.43147 −0.206772
\(691\) −39.5781 22.8504i −1.50562 0.869271i −0.999979 0.00652832i \(-0.997922\pi\)
−0.505643 0.862743i \(-0.668745\pi\)
\(692\) 0.867423 1.50242i 0.0329745 0.0571135i
\(693\) 41.1531 71.2793i 1.56328 2.70768i
\(694\) −43.4586 + 25.0908i −1.64967 + 0.952435i
\(695\) 1.61298 + 0.931256i 0.0611839 + 0.0353246i
\(696\) −0.152573 + 0.0880883i −0.00578328 + 0.00333898i
\(697\) 61.9754i 2.34749i
\(698\) −15.9866 −0.605100
\(699\) −14.5301 25.1669i −0.549579 0.951898i
\(700\) −24.2362 13.9928i −0.916041 0.528876i
\(701\) 21.9190 + 37.9648i 0.827868 + 1.43391i 0.899708 + 0.436493i \(0.143780\pi\)
−0.0718396 + 0.997416i \(0.522887\pi\)
\(702\) −72.9178 103.555i −2.75211 3.90843i
\(703\) 1.57687 2.73122i 0.0594728 0.103010i
\(704\) 26.0664 + 15.0495i 0.982416 + 0.567198i
\(705\) −3.92044 −0.147652
\(706\) −8.76993 15.1900i −0.330061 0.571682i
\(707\) 2.96717 1.71310i 0.111592 0.0644277i
\(708\) 22.1340 + 12.7791i 0.831847 + 0.480267i
\(709\) 1.08083i 0.0405915i −0.999794 0.0202957i \(-0.993539\pi\)
0.999794 0.0202957i \(-0.00646077\pi\)
\(710\) 4.60872 2.66085i 0.172962 0.0998598i
\(711\) 14.8633 0.557419
\(712\) −0.0904817 −0.00339095
\(713\) 11.7473 + 22.7460i 0.439938 + 0.851846i
\(714\) −104.922 −3.92661
\(715\) −2.08124 0.963821i −0.0778339 0.0360449i
\(716\) −14.3043 24.7758i −0.534577 0.925914i
\(717\) 14.6678i 0.547780i
\(718\) 24.9718 43.2524i 0.931939 1.61416i
\(719\) 6.17161 + 10.6895i 0.230162 + 0.398653i 0.957856 0.287250i \(-0.0927410\pi\)
−0.727693 + 0.685903i \(0.759408\pi\)
\(720\) −4.89886 + 2.82836i −0.182570 + 0.105407i
\(721\) 29.6697i 1.10496i
\(722\) −12.0442 6.95372i −0.448239 0.258791i
\(723\) −16.1267 9.31073i −0.599757 0.346270i
\(724\) −18.2616 + 31.6300i −0.678688 + 1.17552i
\(725\) 1.69480 + 2.93547i 0.0629431 + 0.109021i
\(726\) −12.4629 7.19547i −0.462542 0.267049i
\(727\) 24.0812 + 41.7098i 0.893121 + 1.54693i 0.836113 + 0.548557i \(0.184823\pi\)
0.0570083 + 0.998374i \(0.481844\pi\)
\(728\) −0.697041 0.322800i −0.0258341 0.0119638i
\(729\) 102.901 3.81113
\(730\) −0.0811086 + 0.0468281i −0.00300196 + 0.00173319i
\(731\) −6.50957 + 11.2749i −0.240765 + 0.417017i
\(732\) 23.8261 + 41.2680i 0.880637 + 1.52531i
\(733\) 24.4689 + 14.1271i 0.903780 + 0.521798i 0.878425 0.477881i \(-0.158595\pi\)
0.0253556 + 0.999678i \(0.491928\pi\)
\(734\) 31.7306 + 18.3197i 1.17120 + 0.676191i
\(735\) 0.322522 + 0.186208i 0.0118964 + 0.00686840i
\(736\) 36.9461i 1.36185i
\(737\) −22.0159 38.1327i −0.810967 1.40464i
\(738\) 90.7127 + 157.119i 3.33918 + 5.78363i
\(739\) −3.94587 2.27815i −0.145151 0.0838030i 0.425666 0.904881i \(-0.360040\pi\)
−0.570817 + 0.821078i \(0.693373\pi\)
\(740\) −0.221597 −0.00814606
\(741\) 61.2362 5.52029i 2.24957 0.202793i
\(742\) 10.8149 0.397026
\(743\) 26.2348i 0.962460i −0.876594 0.481230i \(-0.840190\pi\)
0.876594 0.481230i \(-0.159810\pi\)
\(744\) −1.21031 0.776581i −0.0443722 0.0284709i
\(745\) −0.234256 −0.00858247
\(746\) 54.4496i 1.99354i
\(747\) 73.9726 42.7081i 2.70651 1.56261i
\(748\) 41.6848i 1.52415i
\(749\) −23.0215 13.2915i −0.841187 0.485659i
\(750\) −5.88819 10.1986i −0.215006 0.372402i
\(751\) −9.99131 17.3054i −0.364588 0.631485i 0.624122 0.781327i \(-0.285457\pi\)
−0.988710 + 0.149842i \(0.952123\pi\)
\(752\) 26.1559i 0.953807i
\(753\) 47.8041 82.7992i 1.74208 3.01737i
\(754\) 2.84550 + 4.04107i 0.103627 + 0.147167i
\(755\) 1.11032 1.92313i 0.0404086 0.0699898i
\(756\) 85.2537 49.2213i 3.10065 1.79016i
\(757\) 4.87944 8.45144i 0.177346 0.307173i −0.763624 0.645661i \(-0.776582\pi\)
0.940971 + 0.338488i \(0.109915\pi\)
\(758\) 10.3882 + 17.9929i 0.377317 + 0.653533i
\(759\) 55.8216i 2.02620i
\(760\) 0.0688993i 0.00249924i
\(761\) −6.54994 + 3.78161i −0.237435 + 0.137083i −0.613997 0.789308i \(-0.710439\pi\)
0.376562 + 0.926391i \(0.377106\pi\)
\(762\) 9.39283 + 5.42295i 0.340266 + 0.196453i
\(763\) 7.85685 + 13.6085i 0.284437 + 0.492660i
\(764\) −15.9009 + 27.5411i −0.575273 + 0.996401i